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Aug 26, 2022Open Access
We suggest a field theory based on a generalization of Maxwell’s equations of electromagnetism, which allows one to describe the various elementary particles’ structures. It seems to us, that such a theory must exist because under suitable reactions, particles can turn into particles of other forms and that the photon which partakes in many reactions, being a quantum of electromagnetic field, is described by the Maxwell equations. The fact that particles are supposed to have an internal structur...
Feb 15, 2022Open Access
Option, is a right that gives the purchaser a contract to buy or sell a certain underlying asset at a certain price at a certain time in the future. Asian options are one of the representative products, and it is also the most active new type of option in the financial derivatives market today. However, the path dependence characteristics make the pricing model of Asian options show a relatively large difference compared with that of standard options, and the pricing problem is far more complica...
Sep 30, 2021Open Access
Surface integrals of vector fields play an important role in the solutions of natural science and physical science. The Gauss theorem reduces the difficulty of directly computing surface integrals of vector fields. This paper introduces an approach for the computation of integral surfaces in vector fields and obtains a generalized mathematical expression based on Gauss theorem. Moreover, the computation time is investigated by two classical examples.
Jul 13, 2020Open Access
In this work, we tackled an optimal investment strategy problem of an insurance investor, who had logarithmic utility preference and invested in two assets: 1) a riskless bond with a constant rate of return and 2) a risky asset (stock) whose price dynamics followed modified constant elasticity of variance (M-CEV) model. We focused on getting an optimal investment strategy that will maximize his returns and pays policy holders their claims whenever they occur. We derived formulae that allowed us ...
Aug 29, 2019Open Access
For importance of the trigonometric integrals, we have in this paper finding a series of power, some of trigonometric functions that did not exist before in the first section. As shown in the Section two, where, the integration of trigono-metric function with power n has been achieved and approved, this result is considered as the first achievement. while in the third section we find integrals ...
Nov 30, 2018Open Access
The main objective of the study is to investigate the long run performance of the All Share Price Index (ASPI) of the Colombo Stock Exchange, based on the economic activities of Sri Lanka using cointegration and auto regressive time series. The cointegration test illustrates that share price index is cointegrated with a specific set of macroeconomic variables, i.e. exchange rate (USD/LKR), money supply, wage rates, wet foreign ass ...
Oct 30, 2018Open Access
This work investigated a reinsurer’s optimal investment strategy and the pro-portion he accepted for reinsurance under proportional reinsurance and expo-nential utility preference in the cases where the Brownian motions were corre-lated and where they did not correlate. The reinsurer invested in a market in which the price process of the risky asset is governed by constant elasticity of variance (CEV) model. The required Hamilton- ...
Aug 19, 2016Open Access
This paper presents an enhanced model of geometric fractional Brownian motion where its volatility is assumed to be stochastic volatility model that obeys fractional Ornstein-Uhlenbeck process. The method of estimation for all parameters (α, β, m, μ, H1, and H2) in this model is derived. We calculated the value of European call option using the estimates based on the methods of ...
May 24, 2016Open Access
In this paper, we consider a discrete time insurance risk model, in which
insurance and financial risks jointly follow a bivariate generalized FGM
distribution. Assuming that every convex combination of the marginal distributions
of insurance and financial risks belongs to strongly
regular variation class, we derive some asymptotic equivalence formulas for
these probabilities with both finite and infinite time horizons, all in the ...
Dec 29, 2015Open Access
This study tackled portfolio selection problem for an insurer as well as a
reinsurer aiming at maximizing the probability of survival of the Insurer and
the Reinsurer, to assess the impact of proportional reinsurance on the survival
of insurance companies as well as to determine the condition that would warrant
reinsurance according to the optimal reinsurance proportion chosen by the
insurer. It was assumed the insurer’s and the reinsurer’s surplus processes
were approximated by Brownian motion ...
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